Journal of Applied Mathematics and Stochastic Analysis
Volume 5 (1992), Issue 4, Pages 291-305
doi:10.1155/S1048953392000248
Problem of uniqueness in the renewal process generated by the uniform distribution
ETF, University of Zagreb, Department of Mathematics, Unska 3, P.P. 148, Zagreb 41001, Croatia
Received 1 February 1992; Revised 1 October 1992
Copyright © 1992 D. Ugrin-Šparac. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The renewal process generated by the uniform distribution, when
interpreted as a transformation of the uniform distribution into a discrete
distribution, gives rise to the question of uniqueness of the inverse image.
The paper deals with a particular problem from the described domain,
that arose in the construction of a complex stochastic test intended to
evaluate pseudo-random number generators. The connection of the
treated problem with the question of a unique integral representation of
Gamma-function is also mentioned.